scholarly journals Generation of acoustic rogue waves in dusty plasmas through three-dimensional particle focusing by distorted waveforms

2016 ◽  
Vol 12 (6) ◽  
pp. 573-577 ◽  
Author(s):  
Ya-Yi Tsai ◽  
Jun-Yi Tsai ◽  
Lin I
Keyword(s):  
Three Dimensional ◽  
Rogue Waves ◽  
Dusty Plasmas ◽  
Particle Focusing

Three-Dimensional Instability of Opposite Polarity Nonthermal Dusty Plasma

2019 ◽  
Vol 74 (2) ◽  
pp. 131-138
Author(s):  
E.K. El-Shewy ◽  
S.K. Zaghbeer ◽  
A.A. El-Rahman
Keyword(s):  
Growth Rate ◽  
Cyclotron Frequency ◽  
Three Dimensional ◽  
Dusty Plasmas ◽  
Opposite Polarity ◽  
Charge Ratio ◽  
Nonlinear Phenomena ◽  
Wave Instability ◽  
Direction Cosines ◽  
Dimensional Instability

AbstractNonlinearity properties of obliquely wave propagation and instability in collisionless magnetized nonthermal dusty plasmas containing fluid of negative-positive grains are investigated. Zakharov-Kuznetsov equation is obtained and the three-dimensional wave instability is studied. The parameters such as polarity charge ratio, cyclotron frequency and fast nonthermal effectiveness of the instability properties and growth rate are theoretically studied. It is found that both positive and negative soliton profiles are formed depending on the fraction ratio of electron-ion nonthermality. Also, the growth rate was dependent nonlinearly on the direction cosines, the cyclotron frequency and the positive (negative) grain charge ratio, but independent of the fractional ratio of electron-ion nonthermality. Present discussion may be very significant regarding the observations of nonlinear phenomena in space.

Evolution of rogue waves in dusty plasmas

2015 ◽  
Vol 22 (4) ◽  
pp. 043707 ◽  
Author(s):  
R. E. Tolba ◽  
W. M. Moslem ◽  
N. A. El-Bedwehy ◽  
S. K. El-Labany
Keyword(s):  
Rogue Waves ◽  
Dusty Plasmas

Localized waves and interaction solutions to an extended (3+1)-dimensional Kadomtsev–Petviashvili equation

2020 ◽  
Vol 34 (06) ◽  
pp. 2050076 ◽  
Author(s):  
Han-Dong Guo ◽  
Tie-Cheng Xia ◽  
Wen-Xiu Ma
Keyword(s):  
Three Dimensional ◽  
Soliton Solutions ◽  
Rogue Waves ◽  
Dark Soliton ◽  
Complex Conjugate ◽  
Bilinear Method ◽  
Interaction Solutions ◽  
Petviashvili Equation ◽  
Parameter Constraints ◽  
Localized Waves

In this paper, an extended (3[Formula: see text]+[Formula: see text]1)-dimensional Kadomtsev–Petviashvili (KP) equation is studied via the Hirota bilinear derivative method. Soliton, breather, lump and rogue waves, which are four types of localized waves, are obtained. N-soliton solution is derived by employing bilinear method. Then, line or general breathers, two-order line or general breathers, interaction solutions between soliton and line or general breathers are constructed by complex conjugate approach. These breathers own different dynamic behaviors in different planes. Taking the long wave limit method on the multi-soliton solutions under special parameter constraints, lumps, two- and three-lump and interaction solutions between dark soliton and dark lump are constructed, respectively. Finally, dark rogue waves, dark two-order rogue waves and related interaction solutions between dark soliton and dark rogue waves or dark lump are also demonstrated. Moreover, dynamical characteristics of these localized waves and interaction solutions are further vividly demonstrated through lots of three-dimensional graphs.

Line Rogue Waves in the Mel’nikov Equation

2017 ◽  
Vol 72 (7) ◽  
pp. 609-615 ◽  
Author(s):  
Yongkang Shi
Keyword(s):  
Three Dimensional ◽  
Rogue Waves ◽  
Higher Order ◽  
Matrix Elements ◽  
Bilinear Method ◽  
Algebraic Expressions ◽  
General Line ◽  
Free Parameters ◽  
Hirota Bilinear ◽  
Fundamental Line

AbstractGeneral line rogue waves in the Mel’nikov equation are derived via the Hirota bilinear method, which are given in terms of determinants whose matrix elements have plain algebraic expressions. It is shown that fundamental rogue waves are line rogue waves, which arise from the constant background with a line profile and then disappear into the constant background again. By means of the regulation of free parameters, two subclass of nonfundamental rogue waves are generated, which are called as multirogue waves and higher-order rogue waves. The multirogue waves consist of several fundamental line rogue waves, which arise from the constant background and then decay back to the constant background. The higher-order rogue waves start from a localised lump and retreat back to it. The dynamical behaviours of these line rogue waves are demonstrated by the density and the three-dimensional figures.

Observation of three dimensional optical rogue waves through obstacles

2015 ◽  
Vol 106 (25) ◽  
pp. 254103 ◽  
Author(s):  
Marco Leonetti ◽  
Claudio Conti
Keyword(s):  
Three Dimensional ◽  
Rogue Waves
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